Linear stability of plane creeping Couette flow for
Burgers fluid
Kai-Xin Hu;Jie Peng;Ke-Qin Zhu
【期刊名称】《力学学报：英文版》 【年(卷),期】2013(029)001
【摘要】It is well known that plane creeping Couette flow of UCM and Oldroy-B fluids are linearly stable.However,for Burges fluid,which includes UCM and Oldroyd-B fluids as special cases,unstable modes are detected in the present work.The wave speed,critical parameters and perturbation mode are studied for neutral waves.Energy analysis shows that the sustaining of perturbation energy in Poiseuille flow and Couette flow is completely different.At low Reynolds number limit,analytical solutions are obtained for simplified perturbation equations.The essential difference between Burgers fluid and Oldroyd-B fluid is revealed to be the fact that neutral mode exists only in the former.
【总页数】12页(12-23) 【关键词】
【作者】Kai-Xin Hu;Jie Peng;Ke-Qin Zhu
【作者单位】Department of Engineering Mechanics,Tsinghua University, 100084 Beijing, China;Department of Engineering Mechanics,Tsinghua University,
100084
Beijing,
China;Department
of
Engineering
Mechanics,Tsinghua University, 100084 Beijing, China 【正文语种】中文 【中图分类】 【相关文献】
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Linear stability of plane creeping Couette flow for Burgers fluid
